200224000 has 72 divisors (see below), whose sum is σ = 498862728. Its totient is φ = 80076800.

The previous prime is 200223997. The next prime is 200224027. The reversal of 200224000 is 422002.

It is a happy number.

200224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3326976 + 196897024 = 1824^2 + 14032^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28872 + ... + 35128.

It is an arithmetic number, because the mean of its divisors is an integer number (6928649).

Almost surely, 2^200224000 is an apocalyptic number.

200224000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249431364).

200224000 is an abundant number, since it is smaller than the sum of its proper divisors (298638728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200224000 is an frugal number, since it uses more digits than its factorization.

200224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6288 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 200224000 is about 14150.0530034343. The cubic root of 200224000 is about 585.0217928424.

Adding to 200224000 its reverse (422002), we get a palindrome (200646002).

The spelling of 200224000 in words is "two hundred million, two hundred twenty-four thousand".